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Juliette [100K]
2 years ago
9

2. 2x2 + 24x + 13 How do I write the following in vertex form

Mathematics
1 answer:
Mazyrski [523]2 years ago
4 0

Answer:

y=2(x+6)^2 -59

Step-by-step explanation:

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You are working on the phone in the office. A woman orders 6 tickets for £134.10. How much does each ticket cost?
yKpoI14uk [10]

<em>Answer:</em>

<em>22,35 £</em>

<em>Step-by-step explanation:</em>

<em>How much does each ticket cost ?</em>

<em>134,10 : 6 = 22,35 £</em>

<em />

<em>134,10 : 6 = 22,35</em>

<em>12</em>

<em>___</em>

<em>= 14</em>

<em>   12</em>

<em>  ___</em>

<em>   =21</em>

<em>     18</em>

<em>    ___</em>

<em>    = 30</em>

<em>       30</em>

<em>      ___</em>

<em>       = = </em>

5 0
3 years ago
Read 2 more answers
Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the end behavior.
jenyasd209 [6]
The function is f(x)=x^3-11x^2+36x-36.

To find the x-intercepts, we need to factorize the function. A very good idea is to first try the factors of 36:

f(1)=1-11+36-36, not 0

f(2)=8-44+72-36=-36+72-36=0. Here we have our first root (2).

Now we cad divide f(x) by (x-2) which will give us a quadratic expression, which we can factorize easily (if the discriminant is non negative).

We can also try some other factors of 36. Indeed we can check that 

f(3)=27-99+108-36=135-135=0, 
and
f(6)=216-396+216-36=0.

Thus, f(x)=(x-2)(x-3)(x-6). Note that if we expanded the right hand side expression, the constant term would be the product of the constants 2, 3, 6.

This is the reason why in the first place we looked at the factors of 36 for the possible zeros of f(x).


Thus, the x-intercepts are (2, 0), (3, 0), (6, 0), or 2, 3, 6. 

The y-intercept is f(0), which is -36.


Note that f(0)<f(2) because f(0)=-36 and f(2)=0. This means that at the left side, the graph is coming from - infinity. Similarly, 

we can check that f(10)=1000-1100+360-36=224> f(6). That is, to the right of our rightmost root, the graph is getting larger.

Thus, the end behaviors are: the graph goes to + infinity as x goes to + infinity, 

and it goes to minus infinity as x goes to - infinity.
7 0
3 years ago
Brady is selling candy bars for a school fundraiser to help pay for new sports uniforms. He gets paid $2 for every candy bar he
swat32

Answer:

Second option: 2x=90

Step-by-step explanation:

Let be "x"  the number of candy bars Brady sold on Saturday.

For this exercise you need to analize the information provided in the exercise.

According to the information provided, Brady gets paid $2 for every candy bar he sells. This can be expressed as:

2x

 You know that Brady made a total of $90 on Saturday; this mean the product of  2x is 90.

Based on this, you can write the following equation that represents the number of candy bars Brady sold on Saturday:

2x=90

Observe that this matches with the second option.

6 0
3 years ago
How many batches of muffins can you make from a 4lb bag of sugar if a batch takes 3/4 cup
slava [35]
Four batches should be the correct answer
3 0
3 years ago
At a toy shop, 45 toys were sold in September. A bonus will be giver workers if they can increase sales by 40% in October. How m
harkovskaia [24]

Answer:

6.  45 × (1 + 0.4) = 63

8 0
3 years ago
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